80802121 has 9 divisors (see below), whose sum is σ = 82537333. Its totient is φ = 79103200.

The previous prime is 80802101. The next prime is 80802143. The reversal of 80802121 is 12120808.

The square root of 80802121 is 8989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5112121 + 75690000 = 2261^2 + 8700^2 .

It is not a de Polignac number, because 80802121 - 2¹¹ = 80800073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80802092 and 80802101.

It is not an unprimeable number, because it can be changed into a prime (80802101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 799971 + ... + 800071.

Almost surely, 2^80802121 is an apocalyptic number.

80802121 is the 8989-th square number.

80802121 is the 4495-th centered octagonal number.

It is an amenable number.

80802121 is a deficient number, since it is larger than the sum of its proper divisors (1735212).

80802121 is an frugal number, since it uses more digits than its factorization.

80802121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The cubic root of 80802121 is about 432.3222493425.

Multiplying 80802121 by its product of nonzero digits (256), we get a square (20685342976 = 143824²).

Adding to 80802121 its reverse (12120808), we get a palindrome (92922929).

It can be divided in two parts, 8080 and 2121, that added together give a palindrome (10201).

The spelling of 80802121 in words is "eighty million, eight hundred two thousand, one hundred twenty-one".