972755406 has 40 divisors (see below), whose sum is σ = 2491080240. Its totient is φ = 277929792.

The previous prime is 972755401. The next prime is 972755411. The reversal of 972755406 is 604557279.

972755406 is a `hidden beast` number, since 97 + 2 + 7 + 554 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (972755401) and next prime (972755411).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972755401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427771 + ... + 430038.

It is an arithmetic number, because the mean of its divisors is an integer number (62277006).

Almost surely, 2^972755406 is an apocalyptic number.

972755406 is an abundant number, since it is smaller than the sum of its proper divisors (1518324834).

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

972755406 is a wasteful number, since it uses less digits than its factorization.

972755406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857830 (or 857821 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 972755406 is about 31189.0270127171. The cubic root of 972755406 is about 990.8347229990.

The spelling of 972755406 in words is "nine hundred seventy-two million, seven hundred fifty-five thousand, four hundred six".