77481 has 6 divisors (see below), whose sum is σ = 111930. Its totient is φ = 51648.

The previous prime is 77479. The next prime is 77489. The reversal of 77481 is 18477.

77481 = 40² + 41² + ... + 66².

It can be written as a sum of positive squares in only one way, i.e., 57600 + 19881 = 240^2 + 141^2 .

It is not a de Polignac number, because 77481 - 2¹ = 77479 is a prime.

It is a super-2 number, since 2×77481² = 12006610722, which contains 22 as substring.

77481 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77489) 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, 4296 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (18655).

2⁷⁷⁴⁸¹ is an apocalyptic number.

It is an amenable number.

77481 is a deficient number, since it is larger than the sum of its proper divisors (34449).

77481 is a wasteful number, since it uses less digits than its factorization.

77481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615 (or 8612 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 77481 is about 278.3540910423. The cubic root of 77481 is about 42.6316104733.

The spelling of 77481 in words is "seventy-seven thousand, four hundred eighty-one".