157947 has 16 divisors (see below), whose sum is σ = 236160. Its totient is φ = 93312.

The previous prime is 157933. The next prime is 157951. The reversal of 157947 is 749751.

157947 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 157947 - 2⁴ = 157931 is a prime.

157947 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (157907) 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, 888 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2¹⁵⁷⁹⁴⁷ is an apocalyptic number.

157947 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

157947 is a deficient number, since it is larger than the sum of its proper divisors (78213).

157947 is a wasteful number, since it uses less digits than its factorization.

157947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its digits is 8820, while the sum is 33.

The square root of 157947 is about 397.4254647101. The cubic root of 157947 is about 54.0551562636.

The spelling of 157947 in words is "one hundred fifty-seven thousand, nine hundred forty-seven".