10037973 has 32 divisors (see below), whose sum is σ = 16018560. Its totient is φ = 5519360.

The previous prime is 10037971. The next prime is 10037987. The reversal of 10037973 is 37973001.

10037973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10037973 - 2¹ = 10037971 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10037973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15961 + ... + 16577.

It is an arithmetic number, because the mean of its divisors is an integer number (500580).

Almost surely, 2^10037973 is an apocalyptic number.

It is an amenable number.

10037973 is a deficient number, since it is larger than the sum of its proper divisors (5980587).

10037973 is a wasteful number, since it uses less digits than its factorization.

10037973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 3969, while the sum is 30.

The square root of 10037973 is about 3168.2760296414. The cubic root of 10037973 is about 215.7158257151.

The spelling of 10037973 in words is "ten million, thirty-seven thousand, nine hundred seventy-three".