10357137 has 24 divisors (see below), whose sum is σ = 17322240. Its totient is φ = 5840640.

The previous prime is 10357121. The next prime is 10357141. The reversal of 10357137 is 73175301.

10357137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10357137 - 2⁴ = 10357121 is a prime.

It is a super-3 number, since 3×10357137³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10357137.

It is not an unprimeable number, because it can be changed into a prime (10357117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3937 + ... + 6017.

It is an arithmetic number, because the mean of its divisors is an integer number (721760).

Almost surely, 2^10357137 is an apocalyptic number.

It is an amenable number.

10357137 is a deficient number, since it is larger than the sum of its proper divisors (6965103).

10357137 is a wasteful number, since it uses less digits than its factorization.

10357137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 10357137 is about 3218.2506117455. The cubic root of 10357137 is about 217.9782895081.

The spelling of 10357137 in words is "ten million, three hundred fifty-seven thousand, one hundred thirty-seven".