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972513997 = 71311039689
BaseRepresentation
bin111001111101110…
…110001011001101
32111202221211101221
4321331312023031
53442430421442
6240300203341
733046142530
oct7175661315
92452854357
10972513997
11459a60184
12231839551
13126635590
1493234a17
155a5a2467
hex39f762cd

972513997 has 16 divisors (see below), whose sum is σ = 1198149120. Its totient is φ = 768684672.

The previous prime is 972513959. The next prime is 972514007. The reversal of 972513997 is 799315279.

It is not a de Polignac number, because 972513997 - 219 = 971989709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972513097) 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 15 ways as a sum of consecutive naturals, for example, 95529 + ... + 105217.

It is an arithmetic number, because the mean of its divisors is an integer number (74884320).

Almost surely, 2972513997 is an apocalyptic number.

It is an amenable number.

972513997 is a deficient number, since it is larger than the sum of its proper divisors (225635123).

972513997 is a wasteful number, since it uses less digits than its factorization.

972513997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812.

The product of its digits is 1071630, while the sum is 52.

The square root of 972513997 is about 31185.1566774964. The cubic root of 972513997 is about 990.7527509677.

The spelling of 972513997 in words is "nine hundred seventy-two million, five hundred thirteen thousand, nine hundred ninety-seven".

Divisors: 1 7 13 91 1103 7721 9689 14339 67823 100373 125957 881699 10686967 74808769 138930571 972513997