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997671357 = 33311796659
BaseRepresentation
bin111011011101110…
…100000110111101
32120112021221211000
4323131310012331
54020400440412
6242555320513
733503031564
oct7335640675
92515257730
10997671357
11472183291
1223a150139
1312b9032a7
1496702bdb
155c8c14dc
hex3b7741bd

997671357 has 32 divisors (see below), whose sum is σ = 1534464000. Its totient is φ = 639966960.

The previous prime is 997671347. The next prime is 997671373. The reversal of 997671357 is 753176799.

It is not a de Polignac number, because 997671357 - 27 = 997671229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997671307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146494 + ... + 153152.

It is an arithmetic number, because the mean of its divisors is an integer number (47952000).

Almost surely, 2997671357 is an apocalyptic number.

997671357 is the 19977-th heptagonal number.

It is an amenable number.

997671357 is a deficient number, since it is larger than the sum of its proper divisors (536792643).

997671357 is a wasteful number, since it uses less digits than its factorization.

997671357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6872 counting only the distinct ones).

The product of its digits is 2500470, while the sum is 54.

The square root of 997671357 is about 31585.9360633811. The cubic root of 997671357 is about 999.2231823773.

It can be divided in two parts, 99767 and 1357, that added together give a square (101124 = 3182).

The spelling of 997671357 in words is "nine hundred ninety-seven million, six hundred seventy-one thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 31 93 179 279 537 837 1611 4833 5549 6659 16647 19977 49941 59931 149823 179793 206429 619287 1191961 1857861 3575883 5573583 10727649 32182947 36950791 110852373 332557119 997671357