97952 has 12 divisors (see below), whose sum is σ = 192906. Its totient is φ = 48960.

The previous prime is 97943. The next prime is 97961. The reversal of 97952 is 25979.

It is an interprime number because it is at equal distance from previous prime (97943) and next prime (97961).

It can be written as a sum of positive squares in only one way, i.e., 59536 + 38416 = 244^2 + 196^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 3061 = 97952 / (9 + 7 + 9 + 5 + 2).

It is a plaindrome in base 13.

It is a zygodrome in base 4.

It is an unprimeable number.

97952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1499 + ... + 1562.

2⁹⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

97952 is a deficient number, since it is larger than the sum of its proper divisors (94954).

97952 is a wasteful number, since it uses less digits than its factorization.

97952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3063 counting only the distinct ones).

The product of its digits is 5670, while the sum is 32.

The square root of 97952 is about 312.9728422723. The cubic root of 97952 is about 46.0968344484.

The spelling of 97952 in words is "ninety-seven thousand, nine hundred fifty-two".