153801 has 12 divisors (see below), whose sum is σ = 232128. Its totient is φ = 97944.

The previous prime is 153763. The next prime is 153817. The reversal of 153801 is 108351.

It is a happy number.

It is not a de Polignac number, because 153801 - 2¹⁰ = 152777 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (153841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2¹⁵³⁸⁰¹ is an apocalyptic number.

It is an amenable number.

153801 is a deficient number, since it is larger than the sum of its proper divisors (78327).

153801 is a wasteful number, since it uses less digits than its factorization.

153801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 153801 is about 392.1747059666. The cubic root of 153801 is about 53.5779862449.

The spelling of 153801 in words is "one hundred fifty-three thousand, eight hundred one".