972661 has 2 divisors, whose sum is σ = 972662. Its totient is φ = 972660.

The previous prime is 972649. The next prime is 972679. The reversal of 972661 is 166279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630436 + 342225 = 794^2 + 585^2 .

It is a cyclic number.

It is not a de Polignac number, because 972661 - 2⁷ = 972533 is a prime.

It is equal to p₇₆₅₅₈ and since 972661 and 76558 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486330 + 486331.

It is an arithmetic number, because the mean of its divisors is an integer number (486331).

2⁹⁷²⁶⁶¹ is an apocalyptic number.

It is an amenable number.

972661 is a deficient number, since it is larger than the sum of its proper divisors (1).

972661 is an equidigital number, since it uses as much as digits as its factorization.

972661 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 31.

The square root of 972661 is about 986.2357730279. The cubic root of 972661 is about 99.0802668429.

The spelling of 972661 in words is "nine hundred seventy-two thousand, six hundred sixty-one".