972416311 has 16 divisors (see below), whose sum is σ = 1016684928. Its totient is φ = 929260800.

The previous prime is 972416309. The next prime is 972416329. The reversal of 972416311 is 113614279.

It is a cyclic number.

It is not a de Polignac number, because 972416311 - 2¹ = 972416309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972416381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732130 + ... + 733456.

It is an arithmetic number, because the mean of its divisors is an integer number (63542808).

Almost surely, 2^972416311 is an apocalyptic number.

972416311 is a deficient number, since it is larger than the sum of its proper divisors (44268617).

972416311 is a wasteful number, since it uses less digits than its factorization.

972416311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722.

The product of its digits is 9072, while the sum is 34.

The square root of 972416311 is about 31183.5904122665. The cubic root of 972416311 is about 990.7195771816.

The spelling of 972416311 in words is "nine hundred seventy-two million, four hundred sixteen thousand, three hundred eleven".