77961131 has 8 divisors (see below), whose sum is σ = 80690064. Its totient is φ = 75271680.

The previous prime is 77961097. The next prime is 77961137. The reversal of 77961131 is 13116977.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77961131 - 2¹⁰ = 77960107 is a prime.

It is a super-2 number, since 2×77961131² = 12155875893598322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77961091 and 77961100.

It is not an unprimeable number, because it can be changed into a prime (77961137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5825 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (10086258).

Almost surely, 2^77961131 is an apocalyptic number.

77961131 is a deficient number, since it is larger than the sum of its proper divisors (2728933).

77961131 is a wasteful number, since it uses less digits than its factorization.

77961131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19741.

The product of its digits is 7938, while the sum is 35.

The square root of 77961131 is about 8829.5600683160. The cubic root of 77961131 is about 427.1948845954.

The spelling of 77961131 in words is "seventy-seven million, nine hundred sixty-one thousand, one hundred thirty-one".