37501 has 2 divisors, whose sum is σ = 37502. Its totient is φ = 37500.

The previous prime is 37493. The next prime is 37507. The reversal of 37501 is 10573.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 7225 = 174^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 37501 - 2³ = 37493 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18750 + 18751.

It is an arithmetic number, because the mean of its divisors is an integer number (18751).

2³⁷⁵⁰¹ is an apocalyptic number.

It is an amenable number.

37501 is a deficient number, since it is larger than the sum of its proper divisors (1).

37501 is an equidigital number, since it uses as much as digits as its factorization.

37501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 37501 is about 193.6517492821. The cubic root of 37501 is about 33.4719450272.

The spelling of 37501 in words is "thirty-seven thousand, five hundred one".