10237813 has 8 divisors (see below), whose sum is σ = 10481720. Its totient is φ = 9996480.

The previous prime is 10237807. The next prime is 10237817. The reversal of 10237813 is 31873201.

10237813 = 2262² + 2263².

10237813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 10227204 = 103^2 + 3198^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10237813 - 2¹⁷ = 10106741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10237817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9043 + ... + 10111.

It is an arithmetic number, because the mean of its divisors is an integer number (1310215).

Almost surely, 2^10237813 is an apocalyptic number.

10237813 is the 2263-rd centered square number.

It is an amenable number.

10237813 is a deficient number, since it is larger than the sum of its proper divisors (243907).

10237813 is a wasteful number, since it uses less digits than its factorization.

10237813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10237813 is about 3199.6582630025. The cubic root of 10237813 is about 217.1379487703.

It can be divided in two parts, 1023 and 7813, that added together give a square (8836 = 94²).

The spelling of 10237813 in words is "ten million, two hundred thirty-seven thousand, eight hundred thirteen".