972698000 has 40 divisors (see below), whose sum is σ = 2351988600. Its totient is φ = 389078400.

The previous prime is 972697997. The next prime is 972698003. The reversal of 972698000 is 896279.

972698000 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 (972697997) and next prime (972698003).

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 927324304 = 6736^2 + 30452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×972698000² = 1892282798408000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (972698003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241175 + ... + 245174.

It is an arithmetic number, because the mean of its divisors is an integer number (58799715).

Almost surely, 2^972698000 is an apocalyptic number.

It is an amenable number.

972698000 is an abundant number, since it is smaller than the sum of its proper divisors (1379290600).

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

972698000 is a wasteful number, since it uses less digits than its factorization.

972698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486372 (or 486356 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 972698000 is about 31188.1067075255. The cubic root of 972698000 is about 990.8152316391.

The spelling of 972698000 in words is "nine hundred seventy-two million, six hundred ninety-eight thousand".