97461952 has 112 divisors (see below), whose sum is σ = 238768128. Its totient is φ = 38522880.

The previous prime is 97461911. The next prime is 97461977. The reversal of 97461952 is 25916479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 97461899 and 97461908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510177 + ... + 510367.

Almost surely, 2^97461952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119384064).

97461952 is an abundant number, since it is smaller than the sum of its proper divisors (141306176).

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

97461952 is a wasteful number, since it uses less digits than its factorization.

97461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 97461952 is about 9872.2820056966. The cubic root of 97461952 is about 460.1983265785.

It can be divided in two parts, 974 and 61952, that added together give a palindrome (62926).

The spelling of 97461952 in words is "ninety-seven million, four hundred sixty-one thousand, nine hundred fifty-two".