67652 has 12 divisors (see below), whose sum is σ = 127596. Its totient is φ = 31200.

The previous prime is 67651. The next prime is 67679. The reversal of 67652 is 25676.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 64516 = 56^2 + 254^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 676 and 52 contains 67652 itself.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (10633).

2⁶⁷⁶⁵² is an apocalyptic number.

It is an amenable number.

67652 is a deficient number, since it is larger than the sum of its proper divisors (59944).

67652 is a wasteful number, since it uses less digits than its factorization.

67652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

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

The square root of 67652 is about 260.0999807766. The cubic root of 67652 is about 40.7468036686.

It can be divided in two parts, 6765 and 2, that multiplied together give a triangular number (13530 = T₁₆₄).

The spelling of 67652 in words is "sixty-seven thousand, six hundred fifty-two".