180007921 has 2 divisors, whose sum is σ = 180007922. Its totient is φ = 180007920.

The previous prime is 180007907. The next prime is 180007937. The reversal of 180007921 is 129700081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174768400 + 5239521 = 13220^2 + 2289^2 .

It is a cyclic number.

It is not a de Polignac number, because 180007921 - 2⁹ = 180007409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 180007921.

It is not a weakly prime, because it can be changed into another prime (180007621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90003960 + 90003961.

It is an arithmetic number, because the mean of its divisors is an integer number (90003961).

Almost surely, 2^180007921 is an apocalyptic number.

It is an amenable number.

180007921 is a deficient number, since it is larger than the sum of its proper divisors (1).

180007921 is an equidigital number, since it uses as much as digits as its factorization.

180007921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 180007921 is about 13416.7030599920. The cubic root of 180007921 is about 564.6298993698.

It can be divided in two parts, 18000 and 7921, that added together give a square (25921 = 161²).

The spelling of 180007921 in words is "one hundred eighty million, seven thousand, nine hundred twenty-one".