75457 has 4 divisors (see below), whose sum is σ = 76756. Its totient is φ = 74160.

The previous prime is 75437. The next prime is 75479.

75457 is nontrivially palindromic in base 3 and base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 50176 = 159^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 75457 - 2⁷ = 75329 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 558 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (19189).

2⁷⁵⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

75457 is a deficient number, since it is larger than the sum of its proper divisors (1299).

75457 is a wasteful number, since it uses less digits than its factorization.

75457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its digits is 4900, while the sum is 28.

The square root of 75457 is about 274.6943756250. The cubic root of 75457 is about 42.2571151492.

The spelling of 75457 in words is "seventy-five thousand, four hundred fifty-seven".