972612 has 18 divisors (see below), whose sum is σ = 2458638. Its totient is φ = 324192.

The previous prime is 972611. The next prime is 972613. The reversal of 972612 is 216279.

It is an interprime number because it is at equal distance from previous prime (972611) and next prime (972613).

It can be written as a sum of positive squares in only one way, i.e., 968256 + 4356 = 984^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13473 + ... + 13544.

It is an arithmetic number, because the mean of its divisors is an integer number (136591).

2⁹⁷²⁶¹² is an apocalyptic number.

It is an amenable number.

972612 is an abundant number, since it is smaller than the sum of its proper divisors (1486026).

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

972612 is a wasteful number, since it uses less digits than its factorization.

972612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27027 (or 27022 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 972612 is about 986.2109307851. The cubic root of 972612 is about 99.0786030174.

The spelling of 972612 in words is "nine hundred seventy-two thousand, six hundred twelve".