37282961 has 2 divisors, whose sum is σ = 37282962. Its totient is φ = 37282960.

The previous prime is 37282943. The next prime is 37282963. The reversal of 37282961 is 16928273.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35473936 + 1809025 = 5956^2 + 1345^2 .

It is a cyclic number.

It is not a de Polignac number, because 37282961 - 2⁶ = 37282897 is a prime.

Together with 37282963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37282963) 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 as a sum of consecutive naturals, namely, 18641480 + 18641481.

It is an arithmetic number, because the mean of its divisors is an integer number (18641481).

Almost surely, 2^37282961 is an apocalyptic number.

It is an amenable number.

37282961 is a deficient number, since it is larger than the sum of its proper divisors (1).

37282961 is an equidigital number, since it uses as much as digits as its factorization.

37282961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 38.

The square root of 37282961 is about 6105.9774811245. The cubic root of 37282961 is about 334.0694782972.

The spelling of 37282961 in words is "thirty-seven million, two hundred eighty-two thousand, nine hundred sixty-one".