36657961 has 2 divisors, whose sum is σ = 36657962. Its totient is φ = 36657960.

The previous prime is 36657931. The next prime is 36657983. The reversal of 36657961 is 16975663.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33872400 + 2785561 = 5820^2 + 1669^2 .

It is an emirp because it is prime and its reverse (16975663) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36657961 - 2⁷ = 36657833 is a prime.

It is a super-2 number, since 2×36657961² = 2687612209355042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36657931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18328980 + 18328981.

It is an arithmetic number, because the mean of its divisors is an integer number (18328981).

Almost surely, 2^36657961 is an apocalyptic number.

It is an amenable number.

36657961 is a deficient number, since it is larger than the sum of its proper divisors (1).

36657961 is an equidigital number, since it uses as much as digits as its factorization.

36657961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 204120, while the sum is 43.

The square root of 36657961 is about 6054.5818187551. The cubic root of 36657961 is about 332.1922031458.

The spelling of 36657961 in words is "thirty-six million, six hundred fifty-seven thousand, nine hundred sixty-one".