77461 has 4 divisors (see below), whose sum is σ = 78624. Its totient is φ = 76300.

The previous prime is 77447. The next prime is 77471. The reversal of 77461 is 16477.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 77461 - 2⁹ = 76949 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁷⁷⁴⁶¹ is an apocalyptic number.

77461 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

77461 is a deficient number, since it is larger than the sum of its proper divisors (1163).

77461 is a wasteful number, since it uses less digits than its factorization.

77461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its digits is 1176, while the sum is 25.

The square root of 77461 is about 278.3181632592. The cubic root of 77461 is about 42.6279420231.

The spelling of 77461 in words is "seventy-seven thousand, four hundred sixty-one".