37493 has 2 divisors, whose sum is σ = 37494. Its totient is φ = 37492.

The previous prime is 37489. The next prime is 37501. The reversal of 37493 is 39473.

37493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27889 + 9604 = 167^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 37493 - 2² = 37489 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p₃₉₆₈ and since 37493 and 3968 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18746 + 18747.

It is an arithmetic number, because the mean of its divisors is an integer number (18747).

2³⁷⁴⁹³ is an apocalyptic number.

37493 is the 104-th centered heptagonal number.

It is an amenable number.

37493 is a deficient number, since it is larger than the sum of its proper divisors (1).

37493 is an equidigital number, since it uses as much as digits as its factorization.

37493 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 26.

The square root of 37493 is about 193.6310925446. The cubic root of 37493 is about 33.4695646942.

The spelling of 37493 in words is "thirty-seven thousand, four hundred ninety-three".