77953 has 4 divisors (see below), whose sum is σ = 78660. Its totient is φ = 77248.

The previous prime is 77951. The next prime is 77969. The reversal of 77953 is 35977.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 49729 = 168^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 77953 - 2¹ = 77951 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (19665).

2⁷⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

77953 is a deficient number, since it is larger than the sum of its proper divisors (707).

77953 is a wasteful number, since it uses less digits than its factorization.

77953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706.

The product of its digits is 6615, while the sum is 31.

The square root of 77953 is about 279.2006446984. The cubic root of 77953 is about 42.7180032569.

The spelling of 77953 in words is "seventy-seven thousand, nine hundred fifty-three".