77381633 has 6 divisors (see below), whose sum is σ = 90015426. Its totient is φ = 66327072.

The previous prime is 77381617. The next prime is 77381641. The reversal of 77381633 is 33618377.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77299264 + 82369 = 8792^2 + 287^2 .

It is not a de Polignac number, because 77381633 - 2⁴ = 77381617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77381833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 789560 + ... + 789657.

It is an arithmetic number, because the mean of its divisors is an integer number (15002571).

It is a Proth number, since it is equal to 4723 ⋅ 2¹⁴ + 1 and 4723 < 2¹⁴.

Almost surely, 2^77381633 is an apocalyptic number.

It is an amenable number.

77381633 is a deficient number, since it is larger than the sum of its proper divisors (12633793).

77381633 is a wasteful number, since it uses less digits than its factorization.

77381633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579231 (or 1579224 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 77381633 is about 8796.6830680661. The cubic root of 77381633 is about 426.1337810046.

The spelling of 77381633 in words is "seventy-seven million, three hundred eighty-one thousand, six hundred thirty-three".