77295961 has 4 divisors (see below), whose sum is σ = 77314612. Its totient is φ = 77277312.

The previous prime is 77295949. The next prime is 77295979. The reversal of 77295961 is 16959277.

It is a happy number.

77295961 is a nontrivial binomial coefficient, being equal to C(12434, 2).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16959277 = 661 ⋅25657.

It can be written as a sum of positive squares in 2 ways, for example, as 32137561 + 45158400 = 5669^2 + 6720^2 .

It is a 3-Lehmer number, since φ(77295961) divides (77295961-1)³.

It is a cyclic number.

It is not a de Polignac number, because 77295961 - 2⁵ = 77295929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77295901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 12433.

It is an arithmetic number, because the mean of its divisors is an integer number (19328653).

It is a Poulet number, since it divides 2^77295960-1.

Almost surely, 2^77295961 is an apocalyptic number.

77295961 is the 12433-rd triangular number and also the 6217-th hexagonal number.

77295961 is the 4145-th centered nonagonal number.

It is an amenable number.

77295961 is a deficient number, since it is larger than the sum of its proper divisors (18651).

77295961 is a wasteful number, since it uses less digits than its factorization.

77295961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18650.

The product of its digits is 238140, while the sum is 46.

The square root of 77295961 is about 8791.8121567741. The cubic root of 77295961 is about 425.9764602332.

The spelling of 77295961 in words is "seventy-seven million, two hundred ninety-five thousand, nine hundred sixty-one".