83777121 has 12 divisors (see below), whose sum is σ = 121121572. Its totient is φ = 55800576.

The previous prime is 83777119. The next prime is 83777147. The reversal of 83777121 is 12177738.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81703521 + 2073600 = 9039^2 + 1440^2 .

It is not a de Polignac number, because 83777121 - 2¹ = 83777119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83777021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8085 + ... + 15261.

Almost surely, 2^83777121 is an apocalyptic number.

It is an amenable number.

83777121 is a deficient number, since it is larger than the sum of its proper divisors (37344451).

83777121 is a wasteful number, since it uses less digits than its factorization.

83777121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8477 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 83777121 is about 9152.9842674398. The cubic root of 83777121 is about 437.5642285023.

The spelling of 83777121 in words is "eighty-three million, seven hundred seventy-seven thousand, one hundred twenty-one".