97002 has 24 divisors (see below), whose sum is σ = 223236. Its totient is φ = 30336.

The previous prime is 97001. The next prime is 97003. The reversal of 97002 is 20079.

It is an interprime number because it is at equal distance from previous prime (97001) and next prime (97003).

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 1521 = 309^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (97001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148 + ... + 464.

2⁹⁷⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111618).

97002 is an abundant number, since it is smaller than the sum of its proper divisors (126234).

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

97002 is a wasteful number, since it uses less digits than its factorization.

97002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 97002 is about 311.4514408379. The cubic root of 97002 is about 45.9473247069.

Adding to 97002 its sum of digits (18), we get a triangular number (97020 = T₄₄₀).

The spelling of 97002 in words is "ninety-seven thousand, two".