972811 has 8 divisors (see below), whose sum is σ = 1147904. Its totient is φ = 806760.

The previous prime is 972799. The next prime is 972823. The reversal of 972811 is 118279.

972811 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 (972799) and next prime (972823).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972811 - 2⁷ = 972683 is a prime.

It is a super-2 number, since 2×972811² = 1892722483442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 972811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972611) 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, 2025 + ... + 2458.

It is an arithmetic number, because the mean of its divisors is an integer number (143488).

2⁹⁷²⁸¹¹ is an apocalyptic number.

972811 is a deficient number, since it is larger than the sum of its proper divisors (175093).

972811 is a wasteful number, since it uses less digits than its factorization.

972811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521.

The product of its digits is 1008, while the sum is 28.

The square root of 972811 is about 986.3118168206. The cubic root of 972811 is about 99.0853598390.

The spelling of 972811 in words is "nine hundred seventy-two thousand, eight hundred eleven".