67053 has 16 divisors (see below), whose sum is σ = 106496. Its totient is φ = 36720.

The previous prime is 67049. The next prime is 67057. The reversal of 67053 is 35076.

It is an interprime number because it is at equal distance from previous prime (67049) and next prime (67057).

It is not a de Polignac number, because 67053 - 2² = 67049 is a prime.

It is a super-2 number, since 2×67053² = 8992209618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67053.

It is not an unprimeable number, because it can be changed into a prime (67057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (6656).

2⁶⁷⁰⁵³ is an apocalyptic number.

It is an amenable number.

67053 is a deficient number, since it is larger than the sum of its proper divisors (39443).

67053 is a wasteful number, since it uses less digits than its factorization.

67053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 67053 is about 258.9459403041. The cubic root of 67053 is about 40.6261877365.

The spelling of 67053 in words is "sixty-seven thousand, fifty-three".