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1961631 = 33797107
BaseRepresentation
bin111011110111010011111
310200122212000
413132322133
51000233011
6110013343
722450020
oct7367237
93618760
101961631
11111a891
127a7253
13538b39
14390c47
1528b356
hex1dee9f

1961631 has 32 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 1099008.

The previous prime is 1961623. The next prime is 1961633. The reversal of 1961631 is 1361691.

1961631 is a `hidden beast` number, since 19 + 616 + 31 = 666.

It is not a de Polignac number, because 1961631 - 23 = 1961623 is a prime.

It is a super-2 number, since 2×19616312 = 7695992360322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1961595 and 1961604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18280 + ... + 18386.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

21961631 is an apocalyptic number.

1961631 is the 749-th nonagonal number.

1961631 is a deficient number, since it is larger than the sum of its proper divisors (1425249).

1961631 is a wasteful number, since it uses less digits than its factorization.

1961631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1961631 is about 1400.5823788696. The cubic root of 1961631 is about 125.1811985431.

The spelling of 1961631 in words is "one million, nine hundred sixty-one thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 97 107 189 291 321 679 749 873 963 2037 2247 2619 2889 6111 6741 10379 18333 20223 31137 72653 93411 217959 280233 653877 1961631