67914 has 48 divisors (see below), whose sum is σ = 187200. Its totient is φ = 17640.

The previous prime is 67901. The next prime is 67927. The reversal of 67914 is 41976.

67914 = T₅₇ + T₅₈ + ... + T₈₃.

It is an interprime number because it is at equal distance from previous prime (67901) and next prime (67927).

It is a super-2 number, since 2×67914² = 9224622792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6169 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

2⁶⁷⁹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

67914 is an abundant number, since it is smaller than the sum of its proper divisors (119286).

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

67914 is a wasteful number, since it uses less digits than its factorization.

67914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 67914 is about 260.6031465658. The cubic root of 67914 is about 40.7993367828.

The spelling of 67914 in words is "sixty-seven thousand, nine hundred fourteen".