37506461 has 2 divisors, whose sum is σ = 37506462. Its totient is φ = 37506460.

The previous prime is 37506439. The next prime is 37506481. The reversal of 37506461 is 16460573.

37506461 = 4330² + 4331².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18757561 + 18748900 = 4331^2 + 4330^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-37506461 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37506481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18753230 + 18753231.

It is an arithmetic number, because the mean of its divisors is an integer number (18753231).

Almost surely, 2^37506461 is an apocalyptic number.

37506461 is the 4331-st centered square number.

It is an amenable number.

37506461 is a deficient number, since it is larger than the sum of its proper divisors (1).

37506461 is an equidigital number, since it uses as much as digits as its factorization.

37506461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 37506461 is about 6124.2518726780. The cubic root of 37506461 is about 334.7356970763.

The spelling of 37506461 in words is "thirty-seven million, five hundred six thousand, four hundred sixty-one".