77541041 has 12 divisors (see below), whose sum is σ = 81013452. Its totient is φ = 74210304.

The previous prime is 77540977. The next prime is 77541047. The reversal of 77541041 is 14014577.

It can be written as a sum of positive squares in 6 ways, for example, as 30625 + 77510416 = 175^2 + 8804^2 .

It is not a de Polignac number, because 77541041 - 2⁶ = 77540977 is a prime.

It is a super-2 number, since 2×77541041² = 12025226078727362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77540995 and 77541013.

It is not an unprimeable number, because it can be changed into a prime (77541047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114881 + ... + 115553.

It is an arithmetic number, because the mean of its divisors is an integer number (6751121).

Almost surely, 2^77541041 is an apocalyptic number.

It is an amenable number.

77541041 is a deficient number, since it is larger than the sum of its proper divisors (3472411).

77541041 is a wasteful number, since it uses less digits than its factorization.

77541041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 77541041 is about 8805.7390944770. The cubic root of 77541041 is about 426.4261955360.

The spelling of 77541041 in words is "seventy-seven million, five hundred forty-one thousand, forty-one".