87624161 has 2 divisors, whose sum is σ = 87624162. Its totient is φ = 87624160.

The previous prime is 87624133. The next prime is 87624191. The reversal of 87624161 is 16142678.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 16120225 = 8456^2 + 4015^2 .

It is a cyclic number.

It is not a de Polignac number, because 87624161 - 2¹⁴ = 87607777 is a prime.

It is a super-3 number, since 3×87624161³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (87624101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43812080 + 43812081.

It is an arithmetic number, because the mean of its divisors is an integer number (43812081).

Almost surely, 2^87624161 is an apocalyptic number.

It is an amenable number.

87624161 is a deficient number, since it is larger than the sum of its proper divisors (1).

87624161 is an equidigital number, since it uses as much as digits as its factorization.

87624161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16128, while the sum is 35.

The square root of 87624161 is about 9360.7777988797. Note that the first 4 decimals coincide. The cubic root of 87624161 is about 444.1618883865.

The spelling of 87624161 in words is "eighty-seven million, six hundred twenty-four thousand, one hundred sixty-one".