993157 has 16 divisors (see below), whose sum is σ = 1181952. Its totient is φ = 824320.

The previous prime is 993137. The next prime is 993169. The reversal of 993157 is 751399.

It is a cyclic number.

It is not a de Polignac number, because 993157 - 2¹⁵ = 960389 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 (993107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8733 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (73872).

2⁹⁹³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

993157 is a deficient number, since it is larger than the sum of its proper divisors (188795).

993157 is a wasteful number, since it uses less digits than its factorization.

993157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 8505, while the sum is 34.

The square root of 993157 is about 996.5726265556. The cubic root of 993157 is about 99.7713777168.

The spelling of 993157 in words is "nine hundred ninety-three thousand, one hundred fifty-seven".