970992 has 60 divisors (see below), whose sum is σ = 2969304. Its totient is φ = 293760.

The previous prime is 970987. The next prime is 970997. The reversal of 970992 is 299079.

970992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (970987) and next prime (970997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278 + ... + 1890.

2⁹⁷⁰⁹⁹² 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 970992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484652).

970992 is an abundant number, since it is smaller than the sum of its proper divisors (1998312).

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

970992 is a wasteful number, since it uses less digits than its factorization.

970992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 970992 is about 985.3892631849. The cubic root of 970992 is about 99.0235634147.

It can be divided in two parts, 9709 and 92, that added together give a square (9801 = 99²).

The spelling of 970992 in words is "nine hundred seventy thousand, nine hundred ninety-two".