97961952 has 48 divisors (see below), whose sum is σ = 280530432. Its totient is φ = 29685120.

The previous prime is 97961951. The next prime is 97961957. The reversal of 97961952 is 25916979.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97961951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45328 + ... + 47439.

It is an arithmetic number, because the mean of its divisors is an integer number (5844384).

Almost surely, 2^97961952 is an apocalyptic number.

It is an amenable number.

97961952 is an abundant number, since it is smaller than the sum of its proper divisors (182568480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97961952 is a wasteful number, since it uses less digits than its factorization.

97961952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92791 (or 92783 counting only the distinct ones).

The product of its digits is 306180, while the sum is 48.

The square root of 97961952 is about 9897.5730358508. The cubic root of 97961952 is about 460.9839555369.

The spelling of 97961952 in words is "ninety-seven million, nine hundred sixty-one thousand, nine hundred fifty-two".