46970 has 32 divisors (see below), whose sum is σ = 107136. Its totient is φ = 14400.

The previous prime is 46957. The next prime is 46993. The reversal of 46970 is 7964.

46970 = T₃₆ + T₃₇ + ... + T₆₈.

It is a d-powerful number, because it can be written as 4⁴ + 6⁶ + 9 + 7² + 0 .

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁴⁶⁹⁷⁰ is an apocalyptic number.

46970 is an abundant number, since it is smaller than the sum of its proper divisors (60166).

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 (53568).

46970 is a wasteful number, since it uses less digits than its factorization.

46970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 46970 is about 216.7256330017. The cubic root of 46970 is about 36.0805808138.

The spelling of 46970 in words is "forty-six thousand, nine hundred seventy".