77253 has 8 divisors (see below), whose sum is σ = 112416. Its totient is φ = 46800.

The previous prime is 77249. The next prime is 77261. The reversal of 77253 is 35277.

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

It is not a de Polignac number, because 77253 - 2² = 77249 is a prime.

77253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77213) 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, 1138 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (14052).

2⁷⁷²⁵³ is an apocalyptic number.

It is an amenable number.

77253 is a deficient number, since it is larger than the sum of its proper divisors (35163).

77253 is a wasteful number, since it uses less digits than its factorization.

77253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its digits is 1470, while the sum is 24.

The square root of 77253 is about 277.9442390121. The cubic root of 77253 is about 42.5897526544.

Adding to 77253 its sum of digits (24), we get a palindrome (77277).

It can be divided in two parts, 7 and 7253, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 77253 in words is "seventy-seven thousand, two hundred fifty-three".