13419 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 7560.
The previous prime is 13417. The next prime is 13421. The reversal of 13419 is 91431.
It is an interprime number because it is at equal distance from previous prime (13417) and next prime (13421).
It is not a de Polignac number, because 13419 - 21 = 13417 is a prime.
It is a super-2 number, since 2×134192 = 360139122, which contains 22 as substring.
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
13419 is a lucky number.
It is a plaindrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (13411) 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, 154 + ... + 224.
It is an arithmetic number, because the mean of its divisors is an integer number (1440).
213419 is an apocalyptic number.
13419 is a deficient number, since it is larger than the sum of its proper divisors (9621).
13419 is an equidigital number, since it uses as much as digits as its factorization.
13419 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 87 (or 81 counting only the distinct ones).
The product of its digits is 108, while the sum is 18.
The square root of 13419 is about 115.8404074578. The cubic root of 13419 is about 23.7632981851.
It can be divided in two parts, 134 and 19, that added together give a triangular number (153 = T17).
The spelling of 13419 in words is "thirteen thousand, four hundred nineteen".
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