29953 has 8 divisors (see below), whose sum is σ = 37440. Its totient is φ = 23280.

The previous prime is 29947. The next prime is 29959. The reversal of 29953 is 35992.

It is an interprime number because it is at equal distance from previous prime (29947) and next prime (29959).

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

It is a cyclic number.

It is not a de Polignac number, because 29953 - 2⁵ = 29921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29959) 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, 118 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

It is a Proth number, since it is equal to 117 ⋅ 2⁸ + 1 and 117 < 2⁸.

2²⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

29953 is a deficient number, since it is larger than the sum of its proper divisors (7487).

29953 is a wasteful number, since it uses less digits than its factorization.

29953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 2430, while the sum is 28.

The square root of 29953 is about 173.0693502617. The cubic root of 29953 is about 31.0560899196.

The spelling of 29953 in words is "twenty-nine thousand, nine hundred fifty-three".