157961 has 4 divisors (see below), whose sum is σ = 159252. Its totient is φ = 156672.

The previous prime is 157951. The next prime is 157991. The reversal of 157961 is 169751.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 109561 + 48400 = 331^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 157961 - 2⁶ = 157897 is a prime.

It is a super-4 number, since 4×157961⁴ (a number of 22 digits) contains 4444 as substring.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157961.

It is not an unprimeable number, because it can be changed into a prime (157901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (39813).

2¹⁵⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

157961 is a deficient number, since it is larger than the sum of its proper divisors (1291).

157961 is a wasteful number, since it uses less digits than its factorization.

157961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290.

The product of its digits is 1890, while the sum is 29.

The square root of 157961 is about 397.4430776853. The cubic root of 157961 is about 54.0567533179.

The spelling of 157961 in words is "one hundred fifty-seven thousand, nine hundred sixty-one".