73853 has 12 divisors (see below), whose sum is σ = 87840. Its totient is φ = 61776.

The previous prime is 73849. The next prime is 73859. The reversal of 73853 is 35837.

73853 = T₆₂ + T₆₃ + ... + T₈₇.

It is not a de Polignac number, because 73853 - 2² = 73849 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73859) 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, 3200 + ... + 3222.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2⁷³⁸⁵³ is an apocalyptic number.

It is an amenable number.

73853 is a deficient number, since it is larger than the sum of its proper divisors (13987).

73853 is a wasteful number, since it uses less digits than its factorization.

73853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 73853 is about 271.7590844848. The cubic root of 73853 is about 41.9555463143.

It can be divided in two parts, 7385 and 3, that multiplied together give a triangular number (22155 = T₂₁₀).

The spelling of 73853 in words is "seventy-three thousand, eight hundred fifty-three".