67962 has 16 divisors (see below), whose sum is σ = 139392. Its totient is φ = 22080.

The previous prime is 67961. The next prime is 67967. The reversal of 67962 is 26976.

67962 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (67961) 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, 162 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2⁶⁷⁹⁶² is an apocalyptic number.

67962 is an abundant number, since it is smaller than the sum of its proper divisors (71430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69696).

67962 is a wasteful number, since it uses less digits than its factorization.

67962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293.

The product of its digits is 4536, while the sum is 30.

The square root of 67962 is about 260.6952243521. The cubic root of 67962 is about 40.8089465194.

It can be divided in two parts, 679 and 62, that added together give a triangular number (741 = T₃₈).

The spelling of 67962 in words is "sixty-seven thousand, nine hundred sixty-two".