97362 has 20 divisors (see below), whose sum is σ = 218526. Its totient is φ = 32400.

The previous prime is 97327. The next prime is 97367. The reversal of 97362 is 26379.

It can be written as a sum of positive squares in only one way, i.e., 68121 + 29241 = 261^2 + 171^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97362.

It is not an unprimeable number, because it can be changed into a prime (97367) by changing a digit.

97362 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 in 9 ways as a sum of consecutive naturals, for example, 139 + ... + 462.

2⁹⁷³⁶² is an apocalyptic number.

97362 is an abundant number, since it is smaller than the sum of its proper divisors (121164).

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

97362 is a wasteful number, since it uses less digits than its factorization.

97362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 97362 is about 312.0288448205. The cubic root of 97362 is about 46.0040954136.

It can be divided in two parts, 973 and 62, that added together give a triangular number (1035 = T₄₅).

The spelling of 97362 in words is "ninety-seven thousand, three hundred sixty-two".