77249233 has 2 divisors, whose sum is σ = 77249234. Its totient is φ = 77249232.

The previous prime is 77249219. The next prime is 77249251. The reversal of 77249233 is 33294277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65804544 + 11444689 = 8112^2 + 3383^2 .

It is a cyclic number.

It is not a de Polignac number, because 77249233 - 2⁵ = 77249201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77249192 and 77249201.

It is not a weakly prime, because it can be changed into another prime (77249933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38624616 + 38624617.

It is an arithmetic number, because the mean of its divisors is an integer number (38624617).

Almost surely, 2^77249233 is an apocalyptic number.

It is an amenable number.

77249233 is a deficient number, since it is larger than the sum of its proper divisors (1).

77249233 is an equidigital number, since it uses as much as digits as its factorization.

77249233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 63504, while the sum is 37.

The square root of 77249233 is about 8789.1542824097. The cubic root of 77249233 is about 425.8906039124.

It can be divided in two parts, 772 and 49233, that added together give a palindrome (50005).

The spelling of 77249233 in words is "seventy-seven million, two hundred forty-nine thousand, two hundred thirty-three".