97950951 has 120 divisors (see below), whose sum is σ = 188701920. Its totient is φ = 50295168.

The previous prime is 97950949. The next prime is 97950953. The reversal of 97950951 is 15905979.

97950951 is a `hidden beast` number, since 97 + 9 + 509 + 51 = 666.

It is an interprime number because it is at equal distance from previous prime (97950949) and next prime (97950953).

It is not a de Polignac number, because 97950951 - 2¹ = 97950949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97950897 and 97950906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97950953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2647305 + ... + 2647341.

It is an arithmetic number, because the mean of its divisors is an integer number (1572516).

Almost surely, 2^97950951 is an apocalyptic number.

97950951 is a deficient number, since it is larger than the sum of its proper divisors (90750969).

97950951 is a wasteful number, since it uses less digits than its factorization.

97950951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 97950951 is about 9897.0172779479. The cubic root of 97950951 is about 460.9666989244.

The spelling of 97950951 in words is "ninety-seven million, nine hundred fifty thousand, nine hundred fifty-one".