37053 has 12 divisors (see below), whose sum is σ = 56160. Its totient is φ = 23496.

The previous prime is 37049. The next prime is 37057. The reversal of 37053 is 35073.

37053 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37049) and next prime (37057).

It is not a de Polignac number, because 37053 - 2² = 37049 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37053.

It is not an unprimeable number, because it can be changed into a prime (37057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2³⁷⁰⁵³ is an apocalyptic number.

It is an amenable number.

37053 is a deficient number, since it is larger than the sum of its proper divisors (19107).

37053 is a wasteful number, since it uses less digits than its factorization.

37053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 37053 is about 192.4915582565. The cubic root of 37053 is about 33.3381215344.

It can be divided in two parts, 3 and 7053, that added together give a square (7056 = 84²).

The spelling of 37053 in words is "thirty-seven thousand, fifty-three".