10157993 has 6 divisors (see below), whose sum is σ = 10769454. Its totient is φ = 9548096.

The previous prime is 10157977. The next prime is 10157999. The reversal of 10157993 is 39975101.

10157993 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 10156969 = 32^2 + 3187^2 .

It is not a de Polignac number, because 10157993 - 2⁴ = 10157977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10157999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12755 + ... + 13527.

It is an arithmetic number, because the mean of its divisors is an integer number (1794909).

Almost surely, 2^10157993 is an apocalyptic number.

It is an amenable number.

10157993 is a deficient number, since it is larger than the sum of its proper divisors (611461).

10157993 is an frugal number, since it uses more digits than its factorization.

10157993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 35.

The square root of 10157993 is about 3187.1606486025. The cubic root of 10157993 is about 216.5721641785.

The spelling of 10157993 in words is "ten million, one hundred fifty-seven thousand, nine hundred ninety-three".