32457 has 8 divisors (see below), whose sum is σ = 44800. Its totient is φ = 20880.

The previous prime is 32443. The next prime is 32467. The reversal of 32457 is 75423.

Added to its reverse (75423) it gives a triangular number (107880 = T₄₆₄).

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 32457 - 2⁴ = 32441 is a prime.

It is a Duffinian number.

32457 is a lucky number.

It is a nialpdrome in base 8 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32457.

It is not an unprimeable number, because it can be changed into a prime (32467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2³²⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

32457 is a deficient number, since it is larger than the sum of its proper divisors (12343).

32457 is a wasteful number, since it uses less digits than its factorization.

32457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its digits is 840, while the sum is 21.

The square root of 32457 is about 180.1582637572. The cubic root of 32457 is about 31.8984410424.

Adding to 32457 its reverse (75423), we get a triangular number (107880 = T₄₆₄).

The spelling of 32457 in words is "thirty-two thousand, four hundred fifty-seven".