29457 has 8 divisors (see below), whose sum is σ = 43680. Its totient is φ = 19620.

The previous prime is 29453. The next prime is 29473. The reversal of 29457 is 75492.

It is not a de Polignac number, because 29457 - 2² = 29453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1091 = 29457 / (2 + 9 + 4 + 5 + 7).

29457 is a lucky number.

It is a nialpdrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 29457.

It is not an unprimeable number, because it can be changed into a prime (29453) 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 7 ways as a sum of consecutive naturals, for example, 519 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2²⁹⁴⁵⁷ is an apocalyptic number.

29457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29457 is a deficient number, since it is larger than the sum of its proper divisors (14223).

29457 is a wasteful number, since it uses less digits than its factorization.

29457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 29457 is about 171.6304168847. The cubic root of 29457 is about 30.8837127853.

It can be divided in two parts, 294 and 57, that added together give a triangular number (351 = T₂₆).

The spelling of 29457 in words is "twenty-nine thousand, four hundred fifty-seven".